We study the large exceedance probabilities and large exceedance paths of the recursive sequence Vn = Mn Vn−1 + Qn, where {(Mn, Qn)} is an i.i.d. sequence, and M1 is a d × d random matrix and Q1 is a ...

Recursion -- the computational capacity to embed elements within elements of the same kind -- has been lauded as the intellectual cornerstone of language, tool use and mathematics. A ...

An aptitude for mentally stringing together related items, often cited as a hallmark of human language, may have deep roots in primate evolution, a new study suggests. But “this work shows that the ...

Researchers at the University of Tübingen have found via experimentation that crows are capable of understanding the concept of recursion. In their paper published in the journal Science Advances, ...

This is a preview. Log in through your library . Abstract C. H. Gibbons, M. R. S. Kulenovic and G. Ladas [1] have posed the following problem: Is there a solution of the difference equation: ${x_{n + ...

One of the biggest surprises in molecular biology was the discovery in 1977 that coding information in genes is interrupted by non-coding sequences known as introns. Much has since been learned about ...